Partitions on a Set
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We denote the number of partitions of a set of n elements by P(n). Suppose the number of partitions of a set on n elements into k parts is denoted by P(n,k). Then obviously
P(n) = P(n,1) + P(n,2) + ..... + P(n,n)
Show that P(n,2) = 2^(n-1) - 1© BrainMass Inc. brainmass.com May 24, 2023, 1:31 pm ad1c9bdddf
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means the number ...
Set partitions are investigated. The solution is detailed and well-presented.